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Question: Answered & Verified by Expert
If the equation $4 x^2+h x y+y^2=0$ represent coincident lines, then ' $h$ ' is equal to
MathematicsStraight LinesAP EAMCETAP EAMCET 2020 (22 Sep Shift 1)
Options:
  • A 1
  • B 2
  • C 3
  • D 4
Solution:
2751 Upvotes Verified Answer
The correct answer is: 4
Since the equation $4 x^2+h x y+y^2=0$ represents the coincident lines, then
$$
\begin{aligned}
\left(\frac{h}{2}\right)^2-4 & \times 1=0 \\
\Rightarrow h & =-4,4
\end{aligned}
$$
Hence, option (4) is correct.

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